Diophantine equations, rational points, abelian varieties, Arakelov theory, Iwasawa theory.

Arithmetic geometry is an explosively developing field of mathematics at the junction of modern algebraic geometry and number theory.

Diophantine equations, rational points, abelian varieties, Arakelov theory, Iwasawa theory.

Arithmetic geometry is an explosively developing field of mathematics at the junction of modern algebraic geometry and number theory.